X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffeqx_fqus.ma;h=0b370bd33da38eb662998067b05159dfb376e18f;hp=cf59d2269502f9ab7f03df8e1e69b3f3834a35b6;hb=647504aa72b84eb49be8177b88a9254174e84d4b;hpb=b2cdc4abd9ac87e39bc51b0d9c38daea179adbd5 diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqx_fqus.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqx_fqus.ma index cf59d2269..0b370bd33 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/feqx_fqus.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/feqx_fqus.ma @@ -19,13 +19,14 @@ include "static_2/static/feqx.ma". (* Properties with star-iterated structural successor for closures **********) -lemma feqx_fqus_trans: ∀b,G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≛ ❪G,L,T❫ → - ∀G2,L2,T2. ❪G,L,T❫ ⬂*[b] ❪G2,L2,T2❫ → - ∃∃G,L0,T0. ❪G1,L1,T1❫ ⬂*[b] ❪G,L0,T0❫ & ❪G,L0,T0❫ ≛ ❪G2,L2,T2❫. +lemma feqx_fqus_trans (b): + ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≛ ❪G,L,T❫ → + ∀G2,L2,T2. ❪G,L,T❫ ⬂*[b] ❪G2,L2,T2❫ → + ∃∃G,L0,T0. ❪G1,L1,T1❫ ⬂*[b] ❪G,L0,T0❫ & ❪G,L0,T0❫ ≛ ❪G2,L2,T2❫. #b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2 elim(feqx_inv_gen_dx … H1) -H1 #HG #HL1 #HT1 destruct elim (reqx_fqus_trans … H2 … HL1) -L #L #T0 #H2 #HT02 #HL2 elim (teqx_fqus_trans … H2 … HT1) -T #L0 #T #H2 #HT0 #HL0 -lapply (teqx_reqx_conf … HT02 … HL0) -HL0 #HL0 +lapply (teqx_reqx_conf_sn … HT02 … HL0) -HL0 #HL0 /4 width=7 by feqx_intro_dx, reqx_trans, teqx_trans, ex2_3_intro/ qed-.